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Finding the Third Proportional to 9,633 and 20,844

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Solution

The third proportional to 9,633 and 20,844 is: 45,102.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633 : 20,844 = 20,844 : x
  2. Step 2: Convert to fraction form
    9,633/20,844 = 20,844/x
  3. Step 3: Cross multiply
    9,633x = 20,844 × 20,844
  4. Step 4: Simplify right side
    9,633x = 434,472,336
  5. Step 5: Solve for x
    x = 434,472,336/9,633
  6. Step 6: Final answer
    x = 45,102.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.